Finding the Third Proportional to 3,122.50 and 4,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,122.50 : 4,834.50 = 4,834.50 : x
2. Step 2: Convert to fraction form
   3,122.50/4,834.50 = 4,834.50/x
3. Step 3: Cross multiply
   3,122.50x = 4,834.50 × 4,834.50
4. Step 4: Simplify right side
   3,122.50x = 23,372,390.25
5. Step 5: Solve for x
   x = 23,372,390.25/3,122.50
6. Step 6: Final answer
   x = 7,485.15